45,093

3 × 15031

Starting at 45,093, the Collatz iteration reaches 1 after 207 steps. The first transition is 135280; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 15031

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 60,128

Proper Divisor Sum 15,035

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #45083 ← → #45119

Radix Representation

Decimal	45093
Binary	1011000000100101 (16 bits)
Octal	0o130045
Hexadecimal	0xB025

Divisor Catalog (4)

1 3 15,031 45,093

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

45,093 135,280 67,640 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301

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